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Finding the Fourth Proportional to 134.47, 201.75 and 80.30

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Solution

The fourth proportional to 134.47, 201.75 and 80.30 is: 120.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.47 : 201.75 = 80.30 : x
  2. Step 2: Convert to fraction form
    134.47/201.75 = 80.30/x
  3. Step 3: Cross multiply
    134.47x = 201.75 × 80.30
  4. Step 4: Simplify right side
    134.47x = 16,200.53
  5. Step 5: Solve for x
    x = 16,200.53/134.47
  6. Step 6: Final answer
    x = 120.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.